Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work

doi:10.1007/s11424-015-4081-5

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	Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work
	Zhang Xin 1,2
	2015-10-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	28 期号:5 页码:1015-1032
摘要	This paper deals with a cold standby repairable system with two identical units and one repairman who can do extra work in idle time. The authors are devoted to studying the unique existence and exponential stability of the system solution. C-0-semigroup theory is used to prove the existence of a unique nonnegative time-dependent solution of the system. Then by using the theory of resolvent positive operator, the authors derive that dynamic solution of the system exponentially converges to its steady-state one which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Some reliability indices of the system are discussed with a different method from traditional one. The authors also make a profit analysis to determine the optimal service time outside the system to maximize the system profit.
关键词	C-0-semigroup exponential stability repairable system resolvent positive operator
DOI	10.1007/s11424-015-4081-5
语种	英语
资助项目	National Natural Science Foundation of China[11201007]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000358602600001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20449
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang Xin
作者单位	1.Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang Xin. Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(5):1015-1032.
APA	Zhang Xin.(2015).Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(5),1015-1032.
MLA	Zhang Xin."Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.5(2015):1015-1032.